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3 years ago

Find the distance between the points (-4, -2) and (5, 10). If necessary, round your answer to two decimal places.

Mathematics

2 answers:

viktelen [127]3 years ago

6 0

Using the distance formula, the answer would be 15 units

NISA [10]3 years ago

4 0

15, if you plot the points, then seperate the x and y into two seperate lines, you can create a 3,4,5 triangle to find the distance between the points.

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Solve the given integral equation for LaTeX: y(t)y ( t ). LaTeX: y(t)+9\displaystyle{\int_{0}^{t}e^{9(t-v)}y(v)\, dv}=\sin(3t)y

choli [55]

Looks like the equation is

$y(t)+9\displaystyle\int_0^te^{9(t-v)}y(v)\,\mathrm dv=\sin(3t)$

Differentiating both sides yields the linear ODE,

$y'(t)+9e^{9(t-t)}y(t)=3\cos(3t)$

$y'(t)+9y(t)=3\cos(3t)$

Multiply both sides by the integrating factor $e^{9t}$ :

$e^{9t}y'(t)+9e^{9t}y(t)=3e^{9t}\cos(3t)$

$\left(e^{9t}y(t)\right)'=3e^{9t}\cos(3t)$

Integrate both sides, then solve for $y(t)$ :

$e^{9t}y(t)=\dfrac1{10}e^{9t}(\sin(3t)+3\cos(3t))+C$

$y(t)=\dfrac{\sin(3t)+3\cos(3t)}{10}+Ce^{-9t}$

The given answer choices all seem to be missing <em>C</em>, so I suspect you left out an initial condition. But we can find one; let $t=0$ , then the integral vanishes and we're left with $y(0)=0$ . So

$0=\dfrac{0+3}{10}+C\implies C=-\dfrac3{10}$

So the particular solution is

$y(t)=\dfrac{\sin(3t)+3\cos(3t)-3e^{-9t}}{10}$

6 0

3 years ago

Going to my last resort, brainly

VikaD [51]

Answer:

you have the answer correct actually

Step-by-step explanation:

7 0

2 years ago

What is 2(x+5)<4+5x can i please get answer fast?

Korolek [52]

Answer:

x > 2

Step-by-step explanation:

2(x+5) = 2x + 10 -> 2x + 10 < 4+5x

Subtract 4 from each side.
2x +6 < 5x
Subtract 2x from each side
6 < 3x
2<x

So, x must be > 2

4 0

2 years ago

Please help with two and four

bagirrra123 [75]

Question 1)
575 = 100%
57.5= 10%
57.5 × 2= 115 (20%)

question 2)
575=100%
57.5=10%
115=20%
5.75=1%.

5.75 × 4=22.8 (4%)

22.8 (4%) + 115 (20%) =137.8(24%) which would be rounded up to 138

hope this helps♡♡~~Chyna

4 0

3 years ago

What is the length of missing side JK? Round Answer to nearest tenth please.

zvonat [6]

Given:

Triangle LJK.

LJ = 89 in, LK = 28 in and m∠L = 42°

To find:

The length of missing side JK.

Solution:

LJ = k = 89

LK = j = 28